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bSTAB: an open-source software for computing the basin stability of multi-stable dynamical systems
Citation Link: https://doi.org/10.15480/882.4164
Publikationstyp
Journal Article
Date Issued
2022-01
Sprache
English
Author(s)
Institut
TORE-DOI
Journal
Volume
107
Issue
2
Start Page
1451
End Page
1468
Citation
Nonlinear Dynamics 107 (2): 1451-1468 (2022-01)
Publisher DOI
Scopus ID
Publisher
Springer Science + Business Media B.V
The pervasiveness of multi-stability in nonlinear dynamical systems calls for novel concepts of stability and a consistent quantification of long-term behavior. The basin stability is a global stability metric that builds on estimating the basin of attraction volumes by Monte Carlo sampling. The computation involves extensive numerical time integrations, attractor characterization, and clustering of trajectories. We introduce bSTAB, an open-source software project that aims at enabling researchers to efficiently compute the basin stability of their dynamical systems with minimal efforts and in a highly automated manner. The source code, available at https://github.com/TUHH-DYN/bSTAB/, is available for the programming language Matlab featuring parallelization for distributed computing, automated sensitivity and bifurcation analysis as well as plotting functionalities. We illustrate the versatility and robustness of bSTAB for four canonical dynamical systems from several fields of nonlinear dynamics featuring periodic and chaotic dynamics, complicated multi-stability, non-smooth dynamics, and fractal basins of attraction. The bSTAB projects aims at fostering interdisciplinary scientific collaborations in the field of nonlinear dynamics and is driven by the interaction and contribution of the community to the software package.
Subjects
Basin of attraction
Bi-stability
Clustering
Monte Carlo simulation
Multi-stability
Nonlinear dynamics
MLE@TUHH
DDC Class
600: Technik
Publication version
publishedVersion
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Stender-Hoffmann2022_Article_BSTABAnOpen-sourceSoftwareForC.pdf
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